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Finding the Fourth Proportional to 42,537.09, 58,714.09 and 24,636.50

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Solution

The fourth proportional to 42,537.09, 58,714.09 and 24,636.50 is: 34,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,537.09 : 58,714.09 = 24,636.50 : x
  2. Step 2: Convert to fraction form
    42,537.09/58,714.09 = 24,636.50/x
  3. Step 3: Cross multiply
    42,537.09x = 58,714.09 × 24,636.50
  4. Step 4: Simplify right side
    42,537.09x = 1,446,509,323.12
  5. Step 5: Solve for x
    x = 1,446,509,323.12/42,537.09
  6. Step 6: Final answer
    x = 34,005.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.